Solve sqrt{13}y=13/3x4

$$\sqrt { 13 } y = \frac { 13 } { 3 } x 4$$

Solve for x_4

$$x_{4}=\frac{3\sqrt{13}y}{13}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{13}{3}x_{4}=\sqrt{13}y$$

Divide both sides of the equation by \frac{13}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{13}{3}x_{4}}{\frac{13}{3}}=\frac{\sqrt{13}y}{\frac{13}{3}}$$

Dividing by \frac{13}{3} undoes the multiplication by \frac{13}{3}.

$$x_{4}=\frac{\sqrt{13}y}{\frac{13}{3}}$$

Divide \sqrt{13}y by \frac{13}{3} by multiplying \sqrt{13}y by the reciprocal of \frac{13}{3}.

$$x_{4}=\frac{3\sqrt{13}y}{13}$$

Solve for y

$$y=\frac{\sqrt{13}x_{4}}{3}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\sqrt{13}y=\frac{13x_{4}}{3}$$

Divide both sides by \sqrt{13}.

$$\frac{\sqrt{13}y}{\sqrt{13}}=\frac{13x_{4}}{3\sqrt{13}}$$

Dividing by \sqrt{13} undoes the multiplication by \sqrt{13}.

$$y=\frac{13x_{4}}{3\sqrt{13}}$$

Divide \frac{13x_{4}}{3} by \sqrt{13}.

$$y=\frac{\sqrt{13}x_{4}}{3}$$